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Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory
January 9-11, 2009
George Washington University
Washington, DC, USA

Organizers
Yoshiyuki Ohyama (TWCU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Tatsuya Tsukamoto (Osaka IT), Hao Wu (GWU), Akira Yasuhara (Tokyo GU)

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Small braids with large ultra summit sets
by
Ivan Dynnikov
Moscow State University
Coauthors: Maksim Prasolov

I will present a sequence of braids, the nth one having n strands and n-1 crossings, whose ultra summit set is exponentially large in n. All braids in the sequence are pseudo-Anosov and rigid.

This gives a negative answer to a question raised recently by J.Birman, V.Gebhardt, and J.Gonz´alez-Meneses.

Date received: December 26, 2008

Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caxq-60.